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|Title:||Density functions for navigation function based systems||Authors:||Jadbabaie, Ali
|Keywords:||Dynamics;Navigation;Probabilities||Issue Date:||2006||Publisher:||IEEE||Source:||45th IEEE Conference on Decision and Control, 2006, San Diego, California||Link:||http://www.ieeecss.org/CAB/conferences/cdc2006/index.php||Abstract:||In this paper, we present a scheme for constructing density functions for systems that are almost globally asymptotically stable (i.e., systems for which all trajectories converge to an equilibrium except for a set of measure zero) based on Navigation Functions. Although recently-proven converse theorems guarantee the existence of density functions for such systems, results are only existential and the construction of a density function for almost globally asymptotically stable systems remains a challenging task. We show that for a specific class of dynamical systems that are defined based on a navigation function, a density function can be easily derived from the system's underlying navigation function.||URI:||http://ktisis.cut.ac.cy/handle/10488/7797||ISSN:||01912216||Rights:||© 2006 IEEE||Type:||Conference Papers|
|Appears in Collections:||Δημοσιεύσεις σε συνέδρια/Conference papers|
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